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Finding the Fourth Proportional to 1,054.82, 1,582.25 and 361.48

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Solution

The fourth proportional to 1,054.82, 1,582.25 and 361.48 is: 542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.82 : 1,582.25 = 361.48 : x
  2. Step 2: Convert to fraction form
    1,054.82/1,582.25 = 361.48/x
  3. Step 3: Cross multiply
    1,054.82x = 1,582.25 × 361.48
  4. Step 4: Simplify right side
    1,054.82x = 571,946.87
  5. Step 5: Solve for x
    x = 571,946.87/1,054.82
  6. Step 6: Final answer
    x = 542.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.